Six moles of an ideal gas, initially at 178 C, is compressed at a constant pressure of 2.00 atm to one-third its initial volume.
-What is the final temperature of the gas?
A)-123 °C
B)150 °C
C)27.6 °C
D)-59.3 °C

Question

Quizplus · Accepted Answer

The correct answer is A because the final temperature of the gas is -123 °C. This can be calculated using the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. In this case, the pressure is constant, so we can write:V1/T1 = V2/T2where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature. We know that V2 = V1/3, so we can substitute this into the equation:V1/T1 = (V1/3)/T2Solving for T2, we get:T2 = 3T1Substituting in the given values, we get:T2 = 3(178 °C) = -123 °C

Six Moles of an Ideal Gas, Initially at 178 C